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allsm [11]
3 years ago
14

And check your answers. At the end of the activity, write a brief evaluation of your work.

Mathematics
1 answer:
Rashid [163]3 years ago
8 0

Answer:

<em>16.5 gallons per minute.</em>

Step-by-step explanation:

The given table is:

\begin{center}\begin{tabular}{ c c } Time(minutes) & Water(gallons) \\ 1 & 16.50  \\  1.5 & 24.75  \\   2 & 33   \\\end{tabular}\end{center}

We are given this linear function in the form of table.

Let 't' be the time and W(t) be the function with which the gallons of water are changing with time.

We can use slope intercept form to find the equation.

y=mx+c

Slope of a function:

m=\dfrac{y_2-y_1}{x_2-x_1}

x_2 = 1.5\\x_1 = 1\\y_2 = 24.75\\y_1 = 16.50

m=\dfrac{24.75-16.50}{1.5-1}\\\Rightarrow m =16.5

This slope is the constant of proportionality.

i.e. the rate at which the number of gallons are changing per minute.

So, the answer is <em>16.5 gallons per minute.</em>

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What is the slope of the line defined by the parametric equations x=-2+4t and y=1+4t ?
LekaFEV [45]

Answer:

The value of slope m = -1

Step-by-step explanation:

x = -2 + 4t

and y = 1 + 4t

Solving the both equations

x +2 = 4t

=> t = (x+2)/4     eq(1)

y-1 = 4t

=> t = (y-1)/4      eq(2)

Putting eq(1) = eq(2) as left hand side of both equations are same

(x+2)/4 = (y-1)/4

Cross multiplying

4(x+2) = 4(y-1)

4x + 8 = 4y -4

4x +4y = -4 -8

4x + 4y = -12

4(x+y) = -12

x+y = -12/4

x+y = -3

y = -x -3

The slope intercept form of line is:

y = mx + b

where m is the slope. Comparing with y = -x-3

The value of slope m = -1

8 0
3 years ago
If I was asked to think of a number and multiply it by 2, I could
skad [1K]

Answer:

6

Step-by-step explanation:

u use the equation 2x

so It looks like this...2(3)

so the result is 6

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3 0
3 years ago
X= 2 please solve before 5 pm
MariettaO [177]

Answer:

6. y=20

7. y=3

8. y=3

Step-by-step explanation:

7 0
3 years ago
P (D) = .42, P (E) = .27, and P (D ∩ E) = .15 P (D U E)
Paul [167]

We know that P(D\cap E)=P(D)P(E)=\boxed{0.1134}.

And P(D\cup E)=P(D)+P(E)-P(D\cap E)=\boxed{0.5766}.

Hope this helps.

6 0
2 years ago
How do u write the problem
mr Goodwill [35]
I don’t know ‍♀️ I am very sorry
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